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Finding the Fourth Proportional to 7,945.78, 10,972.14 and 4,966.70

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Solution

The fourth proportional to 7,945.78, 10,972.14 and 4,966.70 is: 6,858.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,945.78 : 10,972.14 = 4,966.70 : x
  2. Step 2: Convert to fraction form
    7,945.78/10,972.14 = 4,966.70/x
  3. Step 3: Cross multiply
    7,945.78x = 10,972.14 × 4,966.70
  4. Step 4: Simplify right side
    7,945.78x = 54,495,327.74
  5. Step 5: Solve for x
    x = 54,495,327.74/7,945.78
  6. Step 6: Final answer
    x = 6,858.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.